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Finding the Fourth Proportional to 11,604.35, 16,022.32 and 7,134.09

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Solution

The fourth proportional to 11,604.35, 16,022.32 and 7,134.09 is: 9,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.35 : 16,022.32 = 7,134.09 : x
  2. Step 2: Convert to fraction form
    11,604.35/16,022.32 = 7,134.09/x
  3. Step 3: Cross multiply
    11,604.35x = 16,022.32 × 7,134.09
  4. Step 4: Simplify right side
    11,604.35x = 114,304,672.89
  5. Step 5: Solve for x
    x = 114,304,672.89/11,604.35
  6. Step 6: Final answer
    x = 9,850.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.